Contributed paper OPTO-ELECTRONICS REVIEW 11(1), 55–63 (2003) Optimisation of construction of two-channel acousto-optic modulator for radio-signal phase detection L. JOD£OWSKI* Institute of Optoelectronics, Military University of Technology 2 Kaliskiego Str., 00-908 Warsaw, Poland Two-channel acousto-optic modulator (AOM) makes simultaneous assignment of the frequency and phase of radio-signals possible. AOM is a fundamental element of a spectrum analyser based on acousto-optic receiver. In the paper, an analysis of influence of structural elements on characteristics of a two-channel modulator was shown and the procedure of optimisation of its construction described. Basing on this procedure the modulator for spectrum analysis at GSM band was designed, performed and investigated. The two-channel acousto-optic modulators give the possibility of detection and defining direction of radiation with accuracy of 0.5°. Keywords: acousto-optics, modulator, phase detection. 1. Introduction Acousto-optic modulators (AOM) are based on elasto-optic effect which allows transfer of information from acoustic wave to light beam. AOM are commonly applied in RF signal analysers. The possibility of performing Fourier analysis of high frequency radio signal in real time is their major advantage. Practical implementation of AOM is possible since high sensitivity CCD linear arrays have been built. Elaboration of CCD cameras enabled one to carry out two-dimensional analysis of an image in a focus of analysing system. Thus, simultaneous analysis of frequency and phase of radio signal became possible. Two-channel acousto-optic modulator is an upgraded version of acousto-optic deflector and was not described in available literature [1,2]. Acousto-optic deflectors are used in signal analysers [3,4] and broadband and fast signal analyses [5] are their major advantages. Spectral analysis is carried out in real time without any time delay. Acousto-optic modulator designed for measuring radio signal phase contains, compared to deflector, a second channel (reference one) and signal is analysed in XY image plane. Like for deflector, optimisation of construction consists in elaboration of main structural elements: • active material and its orientation, • optical aperture of modulator, • material and orientation of piezoelectric transducer, • central frequency and bandwidth of transducer, • configuration and size of electrodes, • matching circuits. *e-mail: [email protected] Opto-Electron. Rev., 11, no. 1, 2003 The problem of cross-talk signals is difficult to predict and is presented elsewhere [6]. Analysis of properties of the two-channel modulator for structural optimisation is the main goal of the paper. 2. Analysis of influence of structural elements on characteristics of two-channel modulator (deflector) 2.1. Characteristics of the modulator An arrangement scheme for analysis of radio-signal phase is shown in Fig. 1. Separated blocks represent: light source (laser), beam forming optics, two-channel acousto-optic modulator, analysing optics and elements of image registration and analysis (CCD camera, PC computer with frame-grabber card). Collimating optics is used to obtain uniform intensity distribution of laser beam in the area of acousto-optic modulator’s part overtaken by acoustic beam. As a result of acousto-optic effect part of laser beam is deflected with an angle proportional to frequency of electric signal. Analysing optics (lens) separates and focuses deflected and main beams in different places, so in an image plane of CCD camera only deflected beam is visible. A structural scheme of the two-channel acousto-optic modulator is presented in Fig. 2(a). Interaction between light beam and ultrasonic wave takes place in an acoustic buffer region (1). Ultrasonic beam is generated and formed by the piezoelectric transducer (2) with the electrodes (5) of dimensions d´l. The length of ultra- L. Jod³owski 55 Optimisation of construction of two-channel acousto-optic modulator for radio-signal phase detection Fig. 1. Scheme of a system for analysis of radio-signal phase with use of two-channel A-O modulator. In1 and In2 are the signal and reference inputs, respectively. Fig. 2. Details of construction of A-O modulator (a) and a CCD picture (b) taken in a laboratory setup. sound-light interaction equals A (the width of optical window (4)). A distance between parallel electrodes is H. The absorber (3) is intended for attenuation of acoustic wave after having passed the whole buffer. An interference picture recorded by CCD camera is shown in Fig. 2(b). Projection of interference picture on x axis gives information about frequency of signal utilised in a spectrum analyser. Distribution of light intensity at y direction depends on differences between phases of analysed and reference signals. 2.2. Buffer material, conversion efficiency, and attenuation of acoustic wave Q= nV , (1) where is l0 is the wavelength of light beam, l is the length of ultrasound interaction (length of transducer), n is the index of refraction, F0 and V are the frequency and the velocity of ultrasound wave, respectively. So, for Q < 1 Ramman-Nath mode of diffraction occurs and for Q > 1 Bragg diffraction takes place. Bragg diffrac- 56 sin Q B = l0 , 2L (2) where L is the wavelength of acoustic wave, and QB is the Bragg angle. Deflected beams appear in +1 or –1 diffraction orders and they change their frequencies according to the following dependence w1 = W + w 0 Bragg diffraction is used to describe phenomena in acousto-optic deflectors [5]. A diffraction mode depends on light and sound wave frequencies as well as on length of interaction. The Cook parameter is a criterion for estimating a diffraction mode [1] l 0 lF02 2 tion occurs when angles of incidence of both light and acoustic beams fulfil Bragg condition (for +1 order). In linear regime (up to 60–70% of modulation) diffraction efficiency depends on energy of acoustic wave and acousto-optical quality factor 2 a0 54 h d æ l ö = ç ÷ , Pe M 2 l è l1 ø (3) where l and d are the length and the width of transducer, respectively, M2 is the relative quality factor of buffer (compared with quality factor for fused quartz), l and l1 are the wavelengths of applied and He-Ne lasers, respectively, h is the diffraction efficiency and a0 is the efficiency of electric energy conversion into acoustic wave energy. In Table 1, data of materials chosen for acousto-optic media are presented. The most important parameters are Opto-Electron. Rev., 11, no. 1, 2003 © 2003 COSiW SEP, Warsaw Contributed paper Table 1. Characteristics of acusto-optic materials suitable for longitudinal wave propagation. r´103 (kg/m3) V´103 (m/s) M2´1015 (c3/kg) a (dB/GHzcm) l0 (µm) T Transparency (µm) n Fused quartz 2.20 5.96 1.56 12 0.63 0.2–4.5 1.457 GaP 4.13 6.32 44.6 6 0.63 0.6–10 3.31 PbMoO4 6.95 3.63 36.3 15 0.63 0.42–5.5 0.42–5 TeO2 5.87 3.40 34.5 10 0.63 0.35–5 2.26 Ge 5.38 5.50 260 30 10.6 2.0–20 4 Te 5.25 2.29 5860 420 10.6 4.0–20 2.29 LiNbO3 4.63 6.57 7 0.15 0.63 0.4–4.5 2.29 SF41(CF 755-28) 4.79 3.76 7.2 110 0.63 0.4–4 1.75 SF81(CF 689-31) 4.21 3.89 6.3 50 0.63 0.4–4 1.685 SF141(CF 762-27) 4.51 14.059 5.6 35 0.63 0.4–4 1.756 BK 7 2.53 5.53 0.63 0.34–4 1.517 Material 1 measurements of attenuation [13] were made for 50–250 MHz band the following: the quality factor M2, the attenuation of acoustic wave a, and the range of optical transparency T. For isotropic materials diffraction efficiency depends on incidence angle of light beam and is the largest for Bragg angle, so this condition occurs for one frequency only. For higher and lower frequencies decrease in diffraction efficiency is observed and this can be compensated using external matching circuit (matching filter) [7]. Attenuation of acoustic wave in material decreases its intensity with a increasing distance from transducer surface and causes decrease in diffraction efficiency via limitation of effective aperture. This phenomenon is strictly connected with deflector resolving power. As it was shown in Ref. 1, a 25 dB attenuation at aperture region causes 30% worsening of resolving power. For acoustic powers less than optimal ones diffraction efficiency meets twofold decrease if attenuation equals 8 dB at aperture region. Increasing acoustic power can improve it. So, after having attenuation compensated, a serious 40–50% improvement in diffraction efficiency can be obtained for 10–20 dB attenuation at aperture region. As a result, intensity of light decreases not more than 40–50%. Piezoelectric crystals are commonly used for transducers converting electrical energy to mechanical one. Numerous investigations showed [8,9] that transducers based on LiNbO3 crystals or on deposited TeO2 layers are the best for longitudinal wave generation. æ pl ö DQ d = ç ÷ DF, è nV ø where l is the length of optic wave, p is the number of diffracted order, DF is the frequency band of acoustic wave, n is the refractive index, and V is the acoustic wave speed. The number N of resolved positions of deflected beam depends on angular width jd of a light beam N = Opto-Electron. Rev., 11, no. 1, 2003 DQ d . jd (5) If jd angle depends only on diffracted effect connected with a finite size of light beam, then jd = ml nA (6) where µ is the parameter depending on a light beam structure and a criterion of resolving power, A is the size of the light beam (aperture). For instance, according to Rayleigh’s criterion the two beams are considered as resolved if maximum of the first beam overlaps with a minimum of the second one. Then the parameter µ equals 1 for homogeneous rectangular beam, while µ equals 1.22 for homogeneous circular beam and µ equals 1.34 for Gaussian beam. This criterion is very strict, so other criteria of resolution are also used. For rectangular light beam of homogeneous intensity distribution (µ = 1) we have 2.3. Resolving power of deflector N = Scanning angle of the deflector Dqd depends on acoustic frequency band and is described as follows (4) DFA = DFt V (7) where t is the time-of-flight of acoustic wave passing aperture of deflector (t additionally defines switching rate). L. Jod³owski 57 Optimisation of construction of two-channel acousto-optic modulator for radio-signal phase detection Equation (7) relates two fundamental characteristics of deflector: resolution and switching rate. Analysis of solution of the equation shows two ways for resolution improvement: increase in acoustic band or increase in light beam size. However, the second way simultaneously decreases switching rate. 2.4. Interference of the deflected beams in a focus If the lens aperture and focus are D and f, respectively, (see Fig. 3(a), the light intensity distribution in a focus can be described as follows I ( y) = [sin c (x )] 2 , (8) where function sinc(x) is the standard function: sinc(x) = sinx/x. The first minimum of intensity distribution occurs for the angle b as 122 . l . (9) b = A For small angles, b can be expressed as b = x f ; so the function sinc has its first zero value for the argument Py = p. If so, then pd , (10) P= mlf where d is the height of transducer, µ is the parameter of distribution (described in previous section), l is the wavelength of light beam, and f is the lens focus. Both light beams carrying information about acoustic signal phase interfere in a focus. The distance between interference maxima depends on heights H of beams and focal length of the analysing lens [see Fig. 3(b)]. So, the function sinc is “modulated” by the harmonic function (eg., cos) with an argument æ ö H y + j÷ , ç 2p lf è ø (11) where H is the distance between the transducers and j is the phase of acoustic signal. Final formula for distribution of light intensity in a focus of analysing lens is the following 2 æ æ pd ö ö y÷ ÷ ç sinç è mlf ø ÷ é öù æ H ç I ( y) = 1 + cosç 2p y + j ÷ ú , (12) ê ÷ ç pd lf øû è y ÷ ë ç ø è mlf where d is the height of transducer, µ is the parameter of distribution (described in previous section), l is the wavelength of light beam, f is the lens focus, H is the distance between transducers, and j is the phase of the acoustic signal. 2.5. Central frequency and transducer bandwidth From generator side, piezoelectric transducer has complex impedance [10]. Electric matching between transmitter (generator) and receiver (transducer) is necessary to ensure optimal propagation of electric energy. Since input impedance of the transducer is a complex function of structural parameters (including also acoustic and mechanical properties of layers connecting piezoelectric transducer and a buffer) the analysis of the system is not simple [11,12]. In general, surface of the transducer and a difference in acoustic impedances between the transducer and the buffer have major influence on band narrowing. Even using matching G type circuits, different electric bandwidths can be obtained for the same transducer. Details are presented in Ref. 12. An equivalent circuit described by Mason [10] was applied to carry out an analysis of transducer’s electric impedance. Figure 4(a) shows a scheme of transducer for analysis of electric impedance. Transducer plate of thickness d and of acoustic impedance Z0 is placed between the waveguide and absorber of impedances Zb and Za, respectively. The voltage e3 is connected to terminals 3–3 and the current i3 is flowing through the transducer. Equivalent scheme of the transducer is shown in Fig. 4(b). According to equivalent scheme quantities characterising the transducer and adjacent media are transformed into the electric impedance. For one-sided load (buffer loaded by Zl impedance), input impedance can be described as follows æ 1 ö Z = R3 + j ç X 3 ÷ , wC 0 ø è (13) where 2 æf ö R3 = Ra ç 0 ÷ H r , è fr ø (14) 2 Fig. 3. Light intensity distribution in a focus (a) and interference pattern (b) from sources positioned at a distance H. 58 Opto-Electron. Rev., 11, no. 1, 2003 æf ö X 3 = Ra ç 0 ÷ H i , è fr ø (15) © 2003 COSiW SEP, Warsaw Contributed paper Fig. 4. Piezoelectric transducer. Transducer scheme (a) and equivalent scheme (b). Ra = Hr = 1 æ Zl ö ç ÷ 4 è Z0 ø 2 p Z0 k0 , 4 Z l v 0C 0 2 [1 - cos(kd )] 2 æZ ö [sin(kd )] 2 + ç l cos(kd )÷ è Z0 ø 2 , ö æ æ1 æ Z ö 2 ö ç sin(kd ) 1 + ç ç l ÷ - 1÷ cos(kd )÷ ç ÷ ç ÷ ø ø è è2 è Z0 ø 1 Zl , Hi = 2 2 Z0 æ Zl ö 2 [sin(kd )] + ç cos(kd )÷ è Z0 ø and kd = p f , f0 f0 = V , 2d C 0 = e 0e w (17) (18) Rg Z , (19) where Rg is the resistance of generator (usually 50 W) and Z is the load impedance. Standing wave ratio (SWR) is defined as follows SWR = 1+ G , 1- G (20) where G = (1 - r ) (1 + r ). Expressing load impedance in a normalised form as Z = R + jX, the quantity G can be expressed by real and imaginary parts of the impedance S . d G = In Eqs. 13–18, influence of the connecting layers on electric impedance of the transducer was neglected. The influence of connecting layers can be neglected up to the frequencies 100–150 MHz for metallic layers of 1-µm thickness. For higher frequencies an influence of the layers must be taken into consideration [11]. 2.6. Electrical matching between transducer and measuring circuit Parallel or series inductive coil can be used as a matching circuit for some cases. Although transducer operation without matching circuit is possible such solution is used for acoustic measuring heads rather than for acousto-optic modulators [12]. Since full impedance matching for the transducer occurs for chosen frequencies only, a suitable criterion for evaluation of matching is based on, so called, standing wave ratio (SWR). This parameter is measured in a typical operational mode of network analysers. Reflection coefficient r of incident wave depends on load impedance Opto-Electron. Rev., 11, no. 1, 2003 r = (16) ( R2 - 1 + X 2 ) 2 + 4 X 2 ( R + 1) 2 + X 2 (21) A criterion for sufficient matching for the transducer is SWR < 1.5. When receiver impedance and circuit impedance are fully matched SWR equals 1, while for short and open circuits it reaches infinity. For example, for 3dB electric band attenuation SWR amounts 6. On the other hand, insufficient impedance matching leads to reflection of electric power at impedance drop and as a result significantly lower electric power is delivered to the circuit. Moreover, time of oscillations fading increases and a deformation of pulse shape is observed. It is particularly undesirable for short pulses when the period of oscillations fading and pulse duration at impedance discontinuity are comparable ti £ g , V (22) where g is the thickness of transducer and V is the speed of sound in transducer. L. Jod³owski 59 Optimisation of construction of two-channel acousto-optic modulator for radio-signal phase detection A frequency shift for maximum radiation towards lower frequencies is another effect observed for loaded transducer, so the optimal thickness of transducer g is smaller than that calculated for free oscillations (l/2) g £ V . 2 F0 (23) Example: for 20 MHz frequency pulse deformation is observed for 25 ns pulses, while for higher frequencies deformation occurs for shorter pulses. In many cases the single-element G filters can be used as matching circuits. A bandwidth of matched transducer depends on its impedance and filter configuration. More detailed analysis showed that larger bandwidth of electrical matching can be obtained when real part of transducer impedance is close to impedance of generator (transmitting line) [12]. In calculations, both parallel and series equivalent circuits must be taken into account. Generally, four basic configurations of G type matching circuits must be analysed to make a proper choice of optimal configuration [11]. The use of multi-element filters is a brand new quality in matching technique. Theory of calculation of these circuits is well known but it has not been used in transducers matching for years [14]. The calculations of filters were as sophisticated and difficult, as their manufacturing and measurements were complex. An improvement in computing and measuring techniques allows for application of multi-element matching circuits in optimisation of piezoelectric transducers. For acousto-optic devices this method compensates angular dependence of diffraction efficiency and acousto-optic characteristics are more flat [7]. Basing on structural and material data of elements used (transducer, connecting layers, buffer, electrodes and load), one can calculate electrical characteristics of transducer (electric impedance) and next, optimal single- or multielement matching circuits of G type and theoretical characteristics of electrical impedance of transducer. This task is presented in the next section. 3. Procedure for calculating optimal construction of the modulator The procedure is performed through a few steps in which the following parameters are defined: aperture of detector, central frequency of deflector, transducer length and high, electric power, and distance between electrodes. 3.1. Aperture of deflector Aperture (A) of the deflector is limited by attenuation of acoustic wave in buffer, so A£ 60 ad a 0 F02 , (24) where ad is the acceptable attenuation in aperture region (ordinary 3 dB), a0 is the coefficient of attenuation of acoustic wave, and F0 is the approximated central frequency of transducer. Aperture calculated here is of rather theoretical meaning, since deflector can operate with attenuation even up to 20 dB. This was discussed in a more detailed way in Section 2.2. 3.2. Central frequency of deflector Central frequency can be calculated assuming larger bandwidth (60%). Since deflectors operate at transitive mode of diffraction, acoustic beam has some angular divergence and the largest bandwidth of interaction occurs for Cook’s parameter Q = 3.7 (see Section 2.2) and equals 0.6 f0 [1]. This frequency band can be obtained using LiNbO3 piezoelectric transducers. Transforming Eq. (7) we have NV , 0.6 A F0 = (25) where N is the number of resolved points (determining resolving power of the deflector), V is the speed of acoustic wave, and A is the size of light beam (aperture) calculated in previous step. Three parameters which describe deflector are coupled: resolution (N), switching rate or aperture (t, A) and a bandwidth (central frequency f0 and parameter Q). So, the procedure of defining central frequency and aperture (steps 1 and 2) must be repeated until they satisfactorily fulfil the requirements. 3.3. Length of transducer The optimal length (l) of the transducer can be calculated from the defined parameter Q (Q = 3.7) l = 37 . nV 2 lF02 (26) where l is the wavelength of light beam, n is the index of refraction, F0, V are the frequency and the velocity of ultrasound wave. 3.4. Height of transducer Height of the transducer (d) can be calculated from the condition of divergence of acoustic beam. The height of transducer must assure that the whole aperture should be located within near field of the transducer d = A V , F0 (27) where the symbols are the same as in Section 3.3. Opto-Electron. Rev., 11, no. 1, 2003 © 2003 COSiW SEP, Warsaw Contributed paper 3.5. Required electric power Electric power depends on efficiency of energy conversion from electric energy into acoustic one (a) and on depth of diffraction (h). The following formula describes electric power 2 54 h d æ l ö PA = aPE = ç ÷ , M2 l è l0 ø (28) where a is the efficiency of energy conversion, PE is the delivered electric power, l, d are the length and the width of transducer, respectively, M2 is the relative acousto-optical quality factor of medium (compared to fused quartz), h is the diffraction depth, l, l1 are the wavelengths of applied light beam and reference laser (He-Ne), respectively. 3.6. Distance between electrodes H Intensity distribution of light resulting from phase difference of electric signals in the two paths should assure the best measurement conditions. This means that in an interference pattern two interference maxima must be apparent. As a result of theoretical analysis (Eq. 12 and Ref. 15) this condition is fulfilled when H = 2.25d, (29) where d is the width of the transducer. Generally, all these optimisation calculations are difficult, however can be solved with use of our software. 4. Exemplary calculations of two-channel deflector Results of calculations are presented in Table 2. The calculations of electric matching were carried out for the transducer attached to a buffer with metallic Cr-Au-In layer [16]. Optimum radiation of the transducer was calculated for 220 MHz (central frequency) while maximum of real part of impedance was found for intermediate frequency of 140 MHz. Matching was performed with simple single-element circuits of G type. For matching with circuit a [Fig. 5(a)] it gave a 3 dB electric band in the range of 124–157 MHz, while for circuit b [Fig. 5(b)] matching occurred at 117–181 MHz. Although the latter gave larger bandwidth yet a proper operation of the transducer was not achieved. Only the use of two-branch LC circuit shown in Fig. 5(c) resulted in a symmetric electric band larger than necessary for properly optimised deflector. In table c, attached to Fig. 5(c), the values of LC elements of the filter are shown. It was the optimal configuration. 5. Experimental verification Investigations of modulators were carried on laboratory stand described in Ref. 17. A PC controlled generator could precisely change phase of electric signal delivered to the modulator. The system of recording interference pattern enabled both on-line operation as well as operation on data stored earlier in the system memory. Construction data and experimental errors of phase measurements are shown in Table 3 for preliminary model (described as a model 0) and for models optimised according to the procedure presented in the paper. The modulators were Fig. 5. Comparison of transducers matching with use of: single element G type filters (a and b), and two-element filter (c). For the filter c full matching occurs at band borders (100 and 180 MHz, respectively). Matching with a and b filters is not satisfactory, the use of four-element filter is much better. Opto-Electron. Rev., 11, no. 1, 2003 L. Jod³owski 61 Optimisation of construction of two-channel acousto-optic modulator for radio-signal phase detection Table 2. Results of calculations for the two-channel deflector based on SF 4 glass. Calculation of aperture Acceptable attenuation in aperture region Attenuation coefficient Central frequency Calculated admissible aperture cm Units used Values SI units dB 5 dB/GHz´cm 110 GHz 0.14 cm 2.1 0.01 km/s 3.89 1.00E+03 2.32 Calculation of F0 Aperture Velocity of acoustic wave N (number of points) 500 Calculated F0 MHz 139.26 Optimised length of transducer Accepted frequency Refraction index Wavelength of light beam Maximum bandwidth (60% for Q = 3.7) MHz: 84 Calculated length of transducer mm: 6.78 Accepted length of transducer Acceptable height of transducer Accepted height of transducer mm: MHz: 140 n 1.685 µm 0.63 mm 6.8 mm 0.77 n(10%) 0.1 quartz –1.56 4.2 1.00E+06 1.00E-06 0.8 Required acoustic power Modulation depth Relative acoustic quality Required acoustic power (eff.: 10 %) Distance between electrodes W: 0.3131 mm: 1.8 Q checking: Q = 3.70778 Bandwidth: DF (MHz) 84 Calculations were carried out for LiNbO3 transducer (Y 36° cutting – longitudinal wave). Table 3. Construction data and experimental errors of the phase measurements for four modulators. Parameters Optimised models Model 0 1 Material of buffer BK 7 SF 4 Transducer 2 3 BK 7 BK 7 LiNbO3 (Y 36°) Central frequency (MHz) 140 Dimensions of electrode (length ´ height) (mm) 10´1 6.8´0.8* Distance between electrodes** (mm) 3 1.8 Theoretical coefficient 6 4.5 Measurement coefficient 3.78 2.95 3.15 3.65 Amplitude of correction function (°) 15.5 1.4 5.3 9.74 3 <0,5 <0,5 2 Error of phase measurement (°) * value calculated theoretically, precision of electrodes performance was not high. ** measured between electrodes centres. 62 Opto-Electron. Rev., 11, no. 1, 2003 © 2003 COSiW SEP, Warsaw Contributed paper manufactured at the Department of Acousto-optic Modulators in Institute of Optoelectronics. LiNbO3 crystal plates attached to SF4 and BK7 glass buffers were used as piezoelectric transducers. Compared to preliminary model, optimised modulators are characterised by considerably lower level of cross-talk energy and significant increase in phase resolution. In two cases experimental errors in phase measurements at frequency 140 MHz were lower than 0.5°. 6. Conclusions Presented method for calculation of two-channel acousto-optic deflectors completes existing literature devoted to acousto-optic deflectors. A two-channel modulator is a key element in any acousto-optical receiver used in spectrum analysers. The paper shows construction of a device for spectrum and signal phase measurements at frequency bandwidth of 80 MHz with resolution of 0.2 MHz. Such device can be based on a cheap acousto-optic deflector made of SF4 glass. Research on modulators performed in Institute of Optoelectronics confirms high accuracy of the phase measurement of radio-signals. Those modulators can be used for analysis and recognition of signals in mobile phones networks (digital GSM, analogue NMT) or UHF band. References 1. W.I. Balakszij, W.N. Parygin, and L.E. Czirkow, Fizitcheskiye Osnovy Akustooptiki, Radio i Swiaz, Moscow, 1985. (in Russian). 2. A. Sliwinski, Ultrasouds and their Applications, WNT, Warsaw, 1993. (in Polish) 3. W. Ciurapiñski and M. Szustakowski: “Acousto-optic RF analyser”, Proc. Acousto-electronics 87 Varna, May 5-8, 359–362 (1997). (in Russian). Opto-Electron. Rev., 11, no. 1, 2003 4. Annual Project Review Report COP 959, “Development of mobile communication systems on solid state elementary basis”, in Technical Audit, Part A, 12, l998. 5. L. Jodlowski, “Investigation of acousto-optic modulator with 500 MHz bandwidth”, 1999. (unpublished) 6. L. Jodlowski, “Increase in accuracy of phase difference measurement in an acousto-optic processor due to cross-talk correction”, J. Opt. A: Pure Appl. Opt. 3, 77–81 (2001). 7. M. Szustakowski and L. Jodlowski, “Construction and properties of the multielement filters for matching piezoelectric transducer”, Proc. 6th Spring School on Acousto-Optics, Jurata, 1995. 8. V. Petrov, “What about more than 2 GHz acousto-optical interaction bandwidth”, Proc. SPIE 2969, 217–222 (1996). 9. L. Jodlowski, “Investigation of acceptable power for piezoelectric crystal transducer”, 1999. (unpublished) 10. W. Soluch, “Introduction to piezoelectronics”, WKi£, Warszawa, 1980. (in Polish). 11. L. Jodlowski and J. Zieniuk, “Technological optimisation of LiNbO3 mono-crystal 1 GHz transducer for ultrasonic microscopy”, Acoustic 79, 97–101 (1993). 12. L. Jodlowski, “Wide-band matching in acoustic heads”, Proc. 2nd Polish Conf. on Non-destructive Investigations, Gliwice (1997). (in Polish). 13. H. Eschler and F. Weidinger, “Acusto-optic properties of dense flint glasses”, J. Appl. Phys. 46, 65–70 (1975). 14. A. Hilderbrandt, H. So³tysik, and A. Zieliñski, Theory of Circuits – Exercises, WNT, Warszawa, 1974. (in Polish). 15. J.C. Poncot, “Advanced multi channels Bragg cells for 2D interferometric phase-frequency measurements”, Int. Conf. on Optical Information Processing, St. Petersburg, 101–109 (1993). 16. M. Buda, K. Gozdzik, and L. Jodlowski, “Technology and properties of connections in acousto-optic modulators” in Works of ITR, Part I, 100 (1985), Part II and III, 102 (1986). (in Polish) 17. M. Szustakowski, L. Jodlowski, I. Merta, and R. Bobrowicz, “An acousto-optic processor for phase and frequency measurement”, Proc. SPIE 3581, 196–199 (1998). L. Jod³owski 63 EMIS Datareviews Series Electronic Materials Information Service and related publications Series Advisor: Professor B.L Weiss-University of Surrey, UK EMIS DATAREVIEWS SERIES This series comprises books on semiconductors and other electronic materials. 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Over 60 individually-authored modules on the abovementioned types of glass covering optical, thermal and mechanical properties, RE spectroscopy, optical fibre manufacture and applications in fibre amplifiers, fibre gratings, fibre lasers and optical switches. EM 022, 395 pages, SBN 0 85296 952 X, 1998 £125 Properties, processing and applications of indium phosphide T.P. Pearsall (Ed.) In 1991, in response to strong demand by semiconductor researchers, the IEE published Properties of Indium Phosphide. Since then InP has continued to be the subject of intensive R&D, especially in the area of optoelectronics, with over 11,000 papers published in the intervening period. Professor Pearsall has assembled a team of some 20 researchers from around the world in order to identify the significant advances and distil the current knowledge from this large mass of literature. New text, tables and illustrations, which form the bulk of the book, are presented together with some compressed material from the old volume. EM 021, 300 pages, ISBN 0 85296 949 X, 2000 £95 Properties of crystalline silicon R. Hull (Ed.) Silicon, as used in silicon chips, is the material on which the information society depends for its power to process information. In 1988 INSPEC published the standard reference source on silicon properties and since then an enormous amount of Si R&D has taken place, with a hundred thousand papers published over 1989-1998. Now, for the benefit of academics, process developers and device simulation engineers working in the area of silicon microelectronics Professor Hull has brought together the specialised expertise of over 100 invited authors from the USA, Japan and Europe coordinated by 18 chapter editors to concisely review its properties in a structured way. EM 020, 1042 pages, ISBN 0 85296 933 3, 1999 £195 Properties of amorphous silicon and its alloys T.M. Searle (Ed.) Over the last decade there have been major advances in the characterisation of amorphous silicon for use in solar cells, TFT liquid crystal displays, photodetectors, LEDs and xerographic devices. In the last decade, researchers have succeeded in dispelling much of the uncertainty about its behaviour and the associated models, so that engineers are better able to exploit it. Here the essential knowledge of the properties, preparation and exploitation of amorphous silicon are distilled into one volume. EM 019, 440 pages ISBN 0 85296 922 8, 1998 £135 http://www.iee.org.uk/publish/books/emis.html 64 Opto-Electron. Rev., 11, no. 1, 2003 © 2003 COSiW SEP, Warsaw
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